**5. Conclusions**

In the present research work, we used RK45 scheme to simulate the two-dimensional Marangoni convective flow along with MHD effect and related heat and mass transfer problem over an infinite disk. The efficiency of proposed model was observed numerically and graphically, and found in good agreemen<sup>t</sup> for heat transportation process. The influence of distinct parameters on proposed flow problem are discussed in detail above. Further, the main findings of the present study are highlighted below:


**Author Contributions:** Conceptualization, I.Z.; methodology, I.Z.; software, A.S.; validation, G.R.; formal analysis, T.S.K.; investigation, I.Z.; resources, I.T.; data curation, G.R.; writing—original draft preparation, I.Z.; writing—review and editing, A.S., G.R. and I.T.; visualization, A.S.; supervision, T.S.K.; project administration, A.S.; and funding acquisition, I.T.

**Funding:** This research received no external funding.

**Conflicts of Interest:** The authors declare no conflict of interest.
